International audienceWe describe a method for distribution function and density estimation with Bern- stein polynomials. We take advantage of results about the eigenstructure of the Bernstein operator to re ne the Sevy's convergence acceleration method, based on iterates of this opera- tor; the original Sevy's algorithm is improved by introducing fractional operators. The proposed algorithm has better convergence properties than the classical one; the price to pay is a control- lable loss of the shape-preserving properties of the Bernstein approximation (monotonicity and positivity in the Density Estimation setting). The method is tested on simulated data
International audienceWe propose a density approximation method based on Bernstein polynomials, cons...
International audienceWe propose a density approximation method based on Bernstein polynomials, cons...
International audienceWe propose a density approximation method based on Bernstein polynomials, cons...
International audienceWe describe a method for distribution function and density estimation with Ber...
International audienceWe describe a method for distribution function and density estimation with Ber...
International audienceWe describe a method for distribution function and density estimation with Ber...
International audienceDespite its slow convergence, the use of the Bernstein polynomial approximatio...
International audienceDespite its slow convergence, the use of the Bernstein polynomial approximatio...
International audienceDespite its slow convergence, the use of the Bernstein polynomial approximatio...
International audienceDespite its slow convergence, the use of the Bernstein polynomial approximatio...
International audienceDespite its slow convergence, the use of the Bernstein polynomial approximatio...
International audienceDespite its slow convergence, the use of the Bernstein polynomial approximatio...
International audienceDespite its slow convergence, the use of the Bernstein polynomial approximatio...
International audienceWe propose a density approximation method based on Bernstein polynomials, cons...
International audienceWe propose a density approximation method based on Bernstein polynomials, cons...
International audienceWe propose a density approximation method based on Bernstein polynomials, cons...
International audienceWe propose a density approximation method based on Bernstein polynomials, cons...
International audienceWe propose a density approximation method based on Bernstein polynomials, cons...
International audienceWe describe a method for distribution function and density estimation with Ber...
International audienceWe describe a method for distribution function and density estimation with Ber...
International audienceWe describe a method for distribution function and density estimation with Ber...
International audienceDespite its slow convergence, the use of the Bernstein polynomial approximatio...
International audienceDespite its slow convergence, the use of the Bernstein polynomial approximatio...
International audienceDespite its slow convergence, the use of the Bernstein polynomial approximatio...
International audienceDespite its slow convergence, the use of the Bernstein polynomial approximatio...
International audienceDespite its slow convergence, the use of the Bernstein polynomial approximatio...
International audienceDespite its slow convergence, the use of the Bernstein polynomial approximatio...
International audienceDespite its slow convergence, the use of the Bernstein polynomial approximatio...
International audienceWe propose a density approximation method based on Bernstein polynomials, cons...
International audienceWe propose a density approximation method based on Bernstein polynomials, cons...
International audienceWe propose a density approximation method based on Bernstein polynomials, cons...
International audienceWe propose a density approximation method based on Bernstein polynomials, cons...
International audienceWe propose a density approximation method based on Bernstein polynomials, cons...